Indecomposable representations of the groupSL(2,C) corresponding to the gel’fand-ponomarev representations of its lie algebra

Summary

We construct a class of indecomposable representations of the groupSL(2,C) which are shown to be continuous and to correspond, exhaustively, to the nonsingular representations of thesl(2,C) Lie algebra studied by Gel’fand and Ponomarev.

PACS

02.20.Qs. - General properties, structure and representation of Lie groups